Circular law for the sum of random permutation matrices
Publication
, Journal Article
Basak, A; Cook, N; Zeitouni, O
Published in: Electronic Journal of Probability
January 1, 2018
Let Pn1, …, Pnd be n × n permutation matrices drawn independently and uniformly at random, and set Snd := ∑ℓ-1d Pnℓ. We show that if log12n/(log log n)4 ≤ d = O(n), then the empirical spectral distribution of Snd/√d converges weakly to the circular law in probability as n → ∞.
Duke Scholars
Published In
Electronic Journal of Probability
DOI
EISSN
1083-6489
Publication Date
January 1, 2018
Volume
23
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 0105 Mathematical Physics
- 0104 Statistics
Citation
APA
Chicago
ICMJE
MLA
NLM
Basak, A., Cook, N., & Zeitouni, O. (2018). Circular law for the sum of random permutation matrices. Electronic Journal of Probability, 23. https://doi.org/10.1214/18-EJP162
Basak, A., N. Cook, and O. Zeitouni. “Circular law for the sum of random permutation matrices.” Electronic Journal of Probability 23 (January 1, 2018). https://doi.org/10.1214/18-EJP162.
Basak A, Cook N, Zeitouni O. Circular law for the sum of random permutation matrices. Electronic Journal of Probability. 2018 Jan 1;23.
Basak, A., et al. “Circular law for the sum of random permutation matrices.” Electronic Journal of Probability, vol. 23, Jan. 2018. Scopus, doi:10.1214/18-EJP162.
Basak A, Cook N, Zeitouni O. Circular law for the sum of random permutation matrices. Electronic Journal of Probability. 2018 Jan 1;23.
Published In
Electronic Journal of Probability
DOI
EISSN
1083-6489
Publication Date
January 1, 2018
Volume
23
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 0105 Mathematical Physics
- 0104 Statistics